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Finding the Third Proportional to 567,193,248 and 1,231,187,976

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Solution

The third proportional to 567,193,248 and 1,231,187,976 is: 2,672,499,783.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,193,248 : 1,231,187,976 = 1,231,187,976 : x
  2. Step 2: Convert to fraction form
    567,193,248/1,231,187,976 = 1,231,187,976/x
  3. Step 3: Cross multiply
    567,193,248x = 1,231,187,976 × 1,231,187,976
  4. Step 4: Simplify right side
    567,193,248x = 1,515,823,832,246,976,512
  5. Step 5: Solve for x
    x = 1,515,823,832,246,976,512/567,193,248
  6. Step 6: Final answer
    x = 2,672,499,783.08

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.